Mathematics
Sides AB and AC of a triangle ABC are equal. BC is produced through C upto point D such that AC = CD. D and A are joined and produced (through vertex A) upto point E. If angle BAE = 108°; find angle ADB.
Related Questions
In triangle ABC, side AC is greater than side AB. If the internal bisector of angle A meets the opposite side at point D, prove that : ∠ADC is greater than ∠ADB.
In isosceles triangle ABC, sides AB and AC are equal. If point D lies in base BC and point E lies on BC produced (BC being produced through vertex C), prove that :
(i) AC > AD
(ii) AE > AC
(iii) AE > AD
Given : ED = EC
Prove : AB + AD > BC.
A ladder manufacturing company manufactures a foldabel step ladder as shown below :
The lengths of legs AB and AC are 120 cm each.
(i) If vertical ∠BAC = 36°, what is the ratio of ∠BAC and ∠ACB ?
(ii) (a) If vertical ∠BAC = 60°, what is the length of BC?
(b) Which type of triangle is △ABC ?